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Finding the Third Proportional to 57,939 and 126,946.50

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Solution

The third proportional to 57,939 and 126,946.50 is: 278,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,939 : 126,946.50 = 126,946.50 : x
  2. Step 2: Convert to fraction form
    57,939/126,946.50 = 126,946.50/x
  3. Step 3: Cross multiply
    57,939x = 126,946.50 × 126,946.50
  4. Step 4: Simplify right side
    57,939x = 16,115,413,862.25
  5. Step 5: Solve for x
    x = 16,115,413,862.25/57,939
  6. Step 6: Final answer
    x = 278,144.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.